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Finding the Third Proportional to 113,584 and 249,038

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Solution

The third proportional to 113,584 and 249,038 is: 546,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,584 : 249,038 = 249,038 : x
  2. Step 2: Convert to fraction form
    113,584/249,038 = 249,038/x
  3. Step 3: Cross multiply
    113,584x = 249,038 × 249,038
  4. Step 4: Simplify right side
    113,584x = 62,019,925,444
  5. Step 5: Solve for x
    x = 62,019,925,444/113,584
  6. Step 6: Final answer
    x = 546,026.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.